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Finding the Third Proportional to 399,581 and 850,015

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Solution

The third proportional to 399,581 and 850,015 is: 1,808,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,581 : 850,015 = 850,015 : x
  2. Step 2: Convert to fraction form
    399,581/850,015 = 850,015/x
  3. Step 3: Cross multiply
    399,581x = 850,015 × 850,015
  4. Step 4: Simplify right side
    399,581x = 722,525,500,225
  5. Step 5: Solve for x
    x = 722,525,500,225/399,581
  6. Step 6: Final answer
    x = 1,808,207.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.